AI Tutor
Back to Modeling with differential equations

Exercise 8

Avg difficulty 2.5

During the first few years of life, the rate at which a baby gains weight is proportional to the reciprocal of its weight.

  1. Express this fact as a differential equation.

  2. Suppose that a baby weighs 8 pounds at birth and 9 pounds one month later. How much will he weigh at one year?

  3. Do you think this is a realistic model for a long time?

Boelkins, Active Calculus, §7.5 Modeling with differential equations, Exercise 8

AI Tutor

Adapted from Active Calculus © 2012–2025 Matthew Boelkins. Licensed under CC BY-SA 4.0. Source: Active Calculus. Imported at revision dc86ba3.